Algebra : Solving Linear Equations for x

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Ready to use

8 years, 7 months ago

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Nasir Firoz Khan 8 years, 7 months ago

Gave some feedback: Ready to use

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Nasir Firoz Khan 8 years, 7 months ago

Created this as a copy of Linear Equations 2.

Name	Status	Author	Last Modified
Linear Equations 1	Ready to use	Katie Lester	01/06/2016 09:47
Linear Equations 2	Ready to use	Katie Lester	01/06/2016 09:47
Solve Linear Equations 1- Summative test	Ready to use	Jinhua Mathias	28/08/2024 12:15
Jinhua's copy of Linear Equations 2	Ready to use	Jinhua Mathias	28/08/2024 12:15
Solve Linear Equations 2- Summative test	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Linear Equations 1 - Formative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Linear Equations 2 - Formative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Linear Equations 1 - Summative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Numerical Skills Linear Equations 2 - Summative assessment	Ready to use	Jinhua Mathias	28/08/2024 12:15
Nasir's copy of Linear Equations 1	draft	Nasir Firoz Khan	20/07/2016 16:46
Algebra : Solving Linear Equations for x	Ready to use	Nasir Firoz Khan	02/09/2016 16:23
Algebra : Solving Linear Equations (basic)	Ready to use	Nasir Firoz Khan	02/09/2016 16:10
Rachel's copy of Algebra : Solving Linear Equations (basic)	draft	Rachel Staddon	22/03/2017 15:08
David's copy of Rachel's copy of Algebra : Solving Linear Equations (basic)	draft	David Wishart	03/05/2017 22:24
Nasir's copy of Algebra : Solving Linear Equations for x	draft	Nasir Firoz Khan	23/05/2017 02:16
Negative ions	draft	Mario Orsi	30/08/2019 14:10
Positive ions	draft	Mario Orsi	30/08/2019 14:09
Neutrons	draft	Mario Orsi	30/08/2019 14:09
Atomic structure	Ready to use	Mario Orsi	10/10/2019 16:11

There are 2 other versions that do you not have access to.

Question statement

Evaluate $x$ in the following equations (Answer in two decimal places only)

If you are not familiar with solving these kinds of equations, please watch this video before attempting.

Give any introductory information the student needs.

			Name	Type	Generated Value

a	list	[ 2, 5, 5 ]
af	list	[ 6, 4, 7 ]
b	list	[ -3, 6, 10 ]
c	list	[ 14, 23, 22 ]
d	number	17.00
f	decimal	dec("8.50")
g	decimal	dec("13.60")
h	decimal	dec("28.80")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
repeat(random(2..6 except 3),3)

JME function reference

Description

coefficient of x on lhs

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `list`

[ 2, 5, 5 ]

→ Used by:

This variable doesn't seem to be used anywhere.

Parts

Part a) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
Part b) Gap-fill
1. Gap Gap 0. Number entry
  Add
2. Gap Gap 1. Number entry
  Add
3. Gap Gap 2. Number entry
  Add
1. Step Information only
Part c) Gap-fill
1. Gap Number entry
  Add

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

$\simplify{{a[0]}*x+{b[0]}={c[0]}}$

$\simplify{{a[0]}*x}=$ Gap 1.

$x=$ Gap 0.

Advice

In part a)

$\simplify{{a[0]}*x+{b[0]}={c[0]}}$

$\simplify{{a[0]}*x}=(\var{c[0]}-(\var{b[0]}))$

$\simplify{{a[0]}*x}=\var{d}$

$x=\var{f}$

In part b)

$\simplify[std]{({a[1]}*x/{af[1]})+{b[1]}={c[1]}}$

$\var{a[1]}x$ + $(\var{b[1]}*\var{af[1]}) = (\var{c[1]}*\var{af[1]})$

$x= \var{g}$

In part c)

$\simplify{({a[2]}*x+{b[2]})/{af[2]}={c[2]}}$

$x=\frac{(\var{c[2]}*\var{af[2]}-\var{b[2]})}{\var{a[2]}}$

$x= \var{h}$

The video below explains how to carry out similar problems.

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
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Gap-fill
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Number entry
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Information only
Gap-fill
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Number entry
Number entry		Hasn't run yet

This question is used in the following exams:

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Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

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Checkpoint description

Nasir Firoz Khan 8 years, 7 months ago

Nasir Firoz Khan 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: `list`

Parts

Gap-fill

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Algebra : Solving Linear Equations for x

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context

Contributors

Feedback

History

Comment

Checkpoint description

Nasir Firoz Khan 8 years, 7 months ago

Nasir Firoz Khan 8 years, 7 months ago

Error in variable testing condition

Error

Warning

Generated value: list

Parts

Gap-fill

Generated value: `list`